What is the time complexity of Breadth-First Search (BFS)?
An example of an AI chatbot conversation about BFS time complexity.
What is the time complexity of Breadth-First Search?
The time complexity of BFS is O(V + E), where V is the number of vertices and E is the number of edges.
Can you explain why it's O(V + E)? I don't quite understand.
Sure! BFS explores each vertex and edge once. It visits all vertices (V) and traverses all edges (E) in the graph.
Does this time complexity change for different types of graphs?
No, the time complexity remains O(V + E) for all types of graphs, whether they are sparse or dense.
What about the space complexity of BFS?
The space complexity of BFS is O(V) as it needs to store the vertices in the queue.
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